Temat: non-linear systems - Prolib Integro

Skocz do pozycji: 1.

Tytuł:: Analysis of observability and detectability for CSTR model of biochemical processes under uncertain system dynamics and various sets of measured outputs
Autorzy:: Łangowski, Rafał
Czyżniewski, Mateusz
Tematy:: biochemical system
indistinguishable dynamics
non-linear systems
observability
process modeling; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Czasopisma i Monografie PAN
Powiązania:: https://bibliotekanauki.pl/articles/59111234.pdf Link otwiera się w nowym oknie
Opis:: An analysis of observability and detectability for continuous stirred tank reactor model of selected biochemical processes has been addressed in this paper. In particular, properties of observability or detectability of the considered system model have been proved under uncertain system dynamics in view of various sets of system measured outputs. It is related to considering system dynamics depending on initial conditions and the impact of inputs taking into account a given measured output. The method of indistinguishable state trajectories (indistinguishable dynamics) and tools based on the Lyapunov second method were used to investigate the observability and detectability properties. The analysis was performed for eight cases of different sets of measured outputs with association to the realistic features of measuring devices. The obtained research results are essential for system state estimation that involves the synthesis of state observers. The proposed approach may be successfully applied to the complex biochemical non-linear uncertain systems modelled as continuous stirred tank reactors.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Design of unknown input observers for non-linear stochastic systems and their application to robust fault diagnosis
Autorzy:: Witczak, M.
Korbicz, J.
Józefowicz, R.
Tematy:: fault diagnosis
unknown input
unscented Kalman filter
interactive multiple models
non-linear systems; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Powiązania:: https://bibliotekanauki.pl/articles/205987.pdf Link otwiera się w nowym oknie
Opis:: The paper deals with the problem of designing filters for non-linear discrete-time stochastic systems. In particular, it is shown how to design an unknown input filter for a single (constant) unknown input distribution matrix, which guarantees that the effect of a fault will not be decoupled from the residual. Subsequently, the problem of using one, fixed disturbance distribution matrix is eliminatek by using the interacting multiple models algorithm to select an appropriate unknown input distribution matrix from a predefined set of matrices. The final part of the paper shows an illustrative example, which confirms the effectiveness of the proposed approach.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Przybliżona metoda oceny odporności pewnej klasy układów nieliniowych
The approximate method of estimation of robustness for cerain class of non-linear systems
Autorzy:: Żuchowski, A.
Tematy:: układy nieliniowe
odporność
funkcja opisująca
kryterium Neumarka
non-linear systems
robustness
Neumark's criterion
describing function; Pokaż więcej
Wydawca:: Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Powiązania:: https://bibliotekanauki.pl/articles/152514.pdf Link otwiera się w nowym oknie
Opis:: Oceny odporności układów liniowych rozumianej jako dopuszczalny obszar zmian parametrów gwarantujących stabilność (ewentualnie z określonym zapasem) dokonuje się wykorzystując bądź tzw. wielomiany Charitonowa [1], bądź kryterium stabilności Neumarka, nazywane też metodą D-powierzchni [2]. Precyzyjna ocena odporności układów nieliniowych jest problemem otwartym. Zaproponowano przybliżoną metodę takiej oceny dla pewnej klasy układów nieliniowych z wykorzystaniem kryterium Neumarka.
The so-called Kharitonov's polynomials [1] and Neumark's criterion (known as D - decomposition method) [2] can be treated as classic tools for estimation of linear system robustness, if estimation procedures are aimed at determination of allowed areas of changes of system parameters without losing of system stability or violating of requirements for assumed system stability margin. The problem of precise estimation of robustness for non-linear systems is still open one. The approximate method of estimation of robustness for certain class of non-linear systems is proposed in the paper. The presented method uses Neumark's criterion.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Decentralized PID control by using GA optimization applied to a quadrotor
Autorzy:: Hasseni, S. E. I.
Abdou, L.
Tematy:: quadrotor
non-linear systems
decentralized control
PID
optimization
genetic algorithm
systemy nieliniowe
kontrola zdecentralizowana
optymalizacja
algorytm genetyczny; Pokaż więcej
Wydawca:: Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Powiązania:: https://bibliotekanauki.pl/articles/384905.pdf Link otwiera się w nowym oknie
Opis:: Quadrotors represent an effective class of aerial robots because of their abilities to work in small areas. We suggested in this research paper to develop an algorithm to control a quadrotor, which is a nonlinear MIMO system and strongly coupled, by a linear control technique (PID), while the parameters are tuned by the Genetic Algorithm (GA). The suggested technique allows a decentralized control by decoupling the linked interactions to effect angles on both altitude and translation position. Moreover, the using a meta-heuristic technique enables a certain ability of the system controllers design without being limited by working on just the small angles and stabilizing just the full actuated subsystem. The simulations were implemented in MATLAB/Simulink tool to evaluate the control technique in terms of dynamic performance and stability. Although the controllers design (PID) is simple, it shows the effect of the proposed technique in terms of tracking errors and stability, even with large angles, subsequently, high velocity response and high dynamic performances with practically acceptable rotors speed.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Modiﬁed Kolmogorov’s theorem
Autorzy:: Michalkiewicz, Jarosław
Tematy:: aproksymacja, twierdzenie Kołmogorowa, nieliniowe systemy dynamiczne
approximation, Kolmogorov’s theorem, non-linear dynamical systems; Pokaż więcej
Wydawca:: Polskie Towarzystwo Matematyczne
Powiązania:: https://bibliotekanauki.pl/articles/748727.pdf Link otwiera się w nowym oknie
Opis:: Praca dotyczy modyﬁkacji twierdzenia Kołmogorowa w celu przedstawienia aproksymacji ciągłej funkcji wielu zmiennych w postaci złożenia aproksymacji ciągłej funkcji jednej zmiennej zwanej wewnętrzną, z wieloma funkcjami, zwanymi zewnętrznymi, przy czym wszystkie funkcje są jednej zmiennej.Twierdzenie Kołmogorowa nie określa jak znaleźć funkcje wewnętrzną.Autor proponuje zastosowanie funkcji liniowej lub całkowitoliczbowej. Zmodyﬁkowana przez autora postać twierdzenia Kołmogorowa znajduje zastosowanie w teorii i praktyce sieci neuronowych oraz identyﬁkacji obiektów w automatyce.
The article takes up the modiﬁcation of the Kolmogorov’s representation theorem of a multivariant continuous function as a superposition of one continuous function, called internal, with many continuous functions, called external, all of one variable. The Kolmogorov’s theorem does not determine how to ﬁnd the internal function.Author suggests an application of functions of particular forms.This requires a modiﬁcation of the theorem.The form of the Kolmogorov’s theorem modiﬁed by the Author ﬁnds its application in the theory and practise of neural networks and in the identiﬁcation of objects in the automatics.The modiﬁed Kolmogorov’s theorem enables the author to construct a simple computer algorithm.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: Detection and Control Problems for Non-Linear Distributed-Parameter Systems With Delays
Autorzy:: Namir, A.
Lahmidi, F.
Labriji, E. H.
Tematy:: system z rozproszonymi parametrami
detekcja
sterowanie
distributed-parameter systems
non-linear discrete-time systems
detection
control
fixed-point theorems; Pokaż więcej
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Powiązania:: https://bibliotekanauki.pl/articles/911203.pdf Link otwiera się w nowym oknie
Opis:: First, we consider non-linear discrete-time and continuous-time systems with unknown inputs. The problem of reconstructing an input using the information given by an output equation is investigated. Then we examine a control problem for non-linear discrete-time hereditary systems, i.e. the problem of finding a control which drives the state of the system from its initial value to a given desired final state. The methods used to solve these problems are based on the state-space technique and fixed-point theorems. To illustrate the outlined ideas, various numerical simulation results are presented.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 7.

Tytuł:: A Comparison Between Some Approximate and Numerical Solution of Dynamical Eulerliouville Equation for Rigid Non-Symetrical Free Body with Fast Oscilating Interaction in Gravitational Field
Autorzy:: Kaźmierczak, A.
Tematy:: rotation of asteroids
gravitational force moment
Euler-Liouville equations
numerical computing
systems of non-linear differential equations; Pokaż więcej
Wydawca:: Społeczna Akademia Nauk w Łodzi
Powiązania:: https://bibliotekanauki.pl/articles/108726.pdf Link otwiera się w nowym oknie
Opis:: Tumbling NPA (non-principal axis) asteroids are discovered by the investigation of photometric data and asteroids lightcurves. A particular solution of Euler-Liouville equation was found for an elongated symmetrical body. It may be useful for investigations of dual periods of rotational motion NPA tumbling asteroids. Physical formula of the gravity force moment acting at a rigid body was derived. A numerical solution of the same accurate equation was found and compared with the analytical ones. A stable region of the numerical solution was investigated and numerical algorithms for fast variables were examined. Very long time period of the numerical solution of Euler- Liouville equation for the body in gravitational field was found.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 8.

Tytuł:: Discrete identification of continuous non-linear andnon-stationary dynamical systems that is insensitive to noise correlation and measurement outliers
Autorzy:: Kozłowski, Janusz
Kowalczuk, Zdzisław
Tematy:: instrumental variable
non-linear continuous-time models
optimization
supervisory systems
security systems
system identification; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Czasopisma i Monografie PAN
Powiązania:: https://bibliotekanauki.pl/articles/27312014.pdf Link otwiera się w nowym oknie
Opis:: The paper uses specific parameter estimation methods to identify the coefficients of continuous-time models represented by linear and non-linear ordinary differential equations. The necessary approximation of such systems in discrete time in the form of utility models is achieved by the use of properly tuned ‘integrating filters’ of the FIR type. The resulting discrete-time descriptions retain the original continuous parameterization and can be identified, for example, by the classical least squares procedure. Since in the presence of correlated noise, the estimated parameter values are burdened with an unavoidable systematic error (manifested by asymptotic bias of the estimates), in order to significantly improve the identification consistency, the method of instrumental variables is used here. In our research we use an estimation algorithm based on the least absolute values (LA) criterion of the least sum of absolute values, which is optimal in identifying linear and non-linear systems in the case of sporadic measurement errors. In the paper, we propose a procedure for determining the instrumental variable for a continuous model with non-linearity (related to the Wienerian system) in order to remove the evaluation bias, and a recursive sub-optimal version of the LA estmator. This algorithm is given in a simple (LA) version and in an instrumental variable version (IV-LA), which is robust to outliers, removes evaluation bias, and is suited to the task of identifying processes with non-linear dynamics (semi-Wienerian/NLID). In conclusion, the effectiveness of the proposed algorithmic solutions has been demonstrated by numerical simulations of the mechanical system, which is an essential part of the suspension system of a wheeled vehicle.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 9.

Tytuł:: Identyfikacja dynamiki liniowych obiektów z wykorzystaniem transformacji Q{K(s)}
The application of transform Q{K(s)} to identification of linear systems dynamics
Autorzy:: Żuchowski, A.
Tematy:: identyfikacja
dynamika
drgania nietłumione
identification
dynamic
linear systems
non-damped oscillations; Pokaż więcej
Wydawca:: Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Powiązania:: https://bibliotekanauki.pl/articles/155159.pdf Link otwiera się w nowym oknie
Opis:: Zaprezentowano metodę identyfikacji dynamiki liniowych obiektów w warunkach drgań nietłumionych uzyskanych na skutek ujemnego sprzężenia zwrotnego poprzez wzmacniacz o wzmocnieniu V i transformacji Q{K(s)}-K(s-q).
The method of identification of linear system dynamics is presented in the paper. To identify plant dynamics one has to set the state of non-damped oscillations in feedback system which is generated by choice of gain V of feedback amplifier and plant transformation according to formula Q{K(s)}- K(s-q).
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 10.

Tytuł:: Explicit commutativity conditions for second-order linear time-varying systems with non-zero initial conditions
Autorzy:: Koksal, Mehmet Emir
Tematy:: commutativity
linear systems
analogue control
robust control
differential
equations
non-zero initial conditions; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Powiązania:: https://bibliotekanauki.pl/articles/229559.pdf Link otwiera się w nowym oknie
Opis:: Although the explicit commutativitiy conditions for second-order linear time-varying systems have been appeared in some literature, these are all for initially relaxed systems. This paper presents explicit necessary and sufficient commutativity conditions for commutativity of second-order linear time-varying systems with non-zero initial conditions. It has appeared interesting that the second requirement for the commutativity of non-relaxed systems plays an important role on the commutativity conditions when non-zero initial conditions exist. Another highlight is that the commutativity of switched systems is considered and spoiling of commutativity at the switching instants is illustrated for the first time. The simulation results support the theory developed in the paper.
Dostawca treści:: Biblioteka Nauki

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